The number 88023
88023 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 37 × 61. Divisors (16): 1, 3, 13, 37, 39, 61, 111, 183, 481, 793, 1443, 2257, 2379, 6771, 29341, 88023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88023 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88023 is composite. Its prime factorisation is
- 3
The divisors add up to 131936; without 88023 itself that is 43913, so 88023 is deficient (43913 is less than 88023). Euler's totient φ(88023) = 51840 numbers up to 88023 share no factor with it.
- 4
The digits of 88023 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88023 = 3 \times 13 \times 37 \times 61 \]
88023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 131936 |
| Euler totient φ(n) | 51840 |
| Square | 7748048529 |
| Cube | 682006475668167 |
| Square root | 296.686703 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 76 |
| Scientific notation | 8.8023 × |
88023 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and twenty-three |
| Binary (base 2) | 10101011111010111 |
| Octal (base 8) | 253727 |
| Hexadecimal (base 16) | 157D7 |
| Base 3 | 11110202010 |
| As time | 88023 seconds = 24 h 27 min 3 s |
Is 88023 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88023 ÷ 3 = 29341) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88023 a prime number?
No. 88023 = 3 × 13 × 37 × 61, so it is divisible by 3.
What are the factors of 88023?
1, 3, 13, 37, 39, 61, 111, 183, 481, 793, 1443, 2257, 2379, 6771, 29341, 88023.
What is 88023 in binary?
10101011111010111 (hexadecimal 157D7, octal 253727).
What is the square root of 88023?
About 296.6867.
Is 88023 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 88023?
It is a composite number with 16 divisors.